The question relates to the calculation of rates. As per the given data, Jack shells 21 peanuts per minute.
The question is about understanding rates. In this case, we are told that Jack shells 315 peanuts in 15 minutes. We could express this rate in terms of peanuts per minute, in order to find out how many peanuts are shelled by Jack per minute. To do this, we need to divide the total number of peanuts shelled (315 peanuts) by the total time taken (15 minutes). So, 315 peanuts ÷ 15 minutes = 21 peanuts per minute. This means Jack shells 21 peanuts every minute.
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There are 4 quarts in one gallon:
1 gal = 4 qt
Then, we want to find the number of quarts in 19 gallons. We can write a proportion:
1/4 = 19/x
Cross multiply:
x = 76 quarts.
There are 76 quarts in 19 gallons.
76 quarts in 19 gallons
Answer:
30.6
Step-by-step explanation:
The area of a parallelogram is base * height.
Base = 6.8
Height = 4.5
6.8 * 4.5 = 30.6
Just answering so Adriantan2019 can get brainliest because that was a good answer and I don't remember how to do the area! SORRY! :) Have a great day! :)
The triangles ΔLMN and ΔPQR are similar as per the AA similarity postulate. This is because ΔLMN and ΔPQR have two pairs of congruent corresponding angles: ∠LMN and ∠PQR, and ∠LM and ∠PQ, contemporaneously proving the AA (Angle-Angle) similarity postulate.
The given problem involves two triangles ΔLMN and ΔPQR. Here, ΔLMN is the original triangle, and ΔPQR is a dilated version of ΔLMN by a scale factor of one-half centered at point M.
For the AA (Angle-Angle) similarity postulate, we need to confirm that two angles of one triangle are congruent to two angles of another triangle. If we can establish this, we can deduce that the two triangles are similar.
Firstly, it is given that m∠LMN is 90°. As a property of dilation, it preserves the measures of angles. This means that m∠PQR will also be 90°. Secondly, since the dilation happens at point M, ∠M of ΔLMN will be the same as ∠P of ΔPQR. Thus, we have two sets of corresponding angles (LMN and PQR, and LM and PQ) that are congruent, satisfying the AA similarity postulate. Therefore, we can conclude that ΔLMN is similar to ΔPQR by the AA similarity postulate.
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The triangles ΔLMN and ΔPQR can be proven similar by the AA similarity postulate.
The triangles ΔLMN and ΔPQR are similar to each other by the AA (Angle-Angle) similarity postulate.
AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
In this case, since ΔPQR is a dilation of ΔLMN with a scale factor of one half, the angles of ΔPQR are congruent to the corresponding angles of ΔLMN.
Therefore, we can conclude that ΔLMN ~ ΔPQR by the AA similarity postulate.
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Answer:
Option A is correct
Step-by-step explanation:
Let the number be z.
Given the statement:
'' five times the quotient of some number and ten"
" quotient of some number and ten" translated to
"five times the quotient of some number and ten" translated to
Then, the expression we get,
Therefore, expression represents '' five times the quotient of some number and ten"
An expression has numbers, variables, and mathematical operations. The expression that represents ''five times the quotient of some number and ten" is 5(z/10).
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be written by breaking the statement into smaller divisions. Let the number be represented by z.
1. The quotient of some number and ten.
2. Now as stated five times the quotient of some number and ten.
Thus, the expression that represents '' five times the quotient of some number and ten" is 5(z/10).
Learn more about Expression:
Answer: There are 632 triangles in an octagon. (a big one)
But usually 8, it depends how big the triangle is.